A random sample of 21 nickels measured with a very accurate micrometer showed a mean diameter of 0.834343 inches with a standard deviation of 0.001886 inches.
a) Why would nickeldiameters vary?
b) Construct a 99 percent confidence interval for the true mean diameter of anickel.
c) Discuss any assumptions that are needed.
d) What sample size would ensure an error of± 0.0005 inches with 99 percent confidence?
NBC asked a sample of VCR owners to record "Late Night with David Letterman" on their VCRs. Of the 125 VCR owners surveyed, 83 either "gave up or screwed up" because they did not understand how to program the VCR.
(a) Construct a 90 percent confidence interval for the true proportionof VCR owners who cannot program their VCRs.
(b) Would viewers of this program betypical of all television viewers? Explain.